Last update: Sep 11, 2023
Textbook: Thomas, Weir and Hass: Thomas's Calculus Early Transcendentals, 
13th edition.

Course contents:
       Chap 2: Limits and continuity: 2.2-2.6
       Chap 3: Differentiation: 3.2-3.3, 3.5-3.9, 3.11
       Chap 4: Application of derivatives: 4.1-4.6, 4.8
       Chap 5: Integration: 5.2-5.6 
       Chap 6: Application of Definite Integrals: 6.1-6.4
       Chap 7: Integrals of Transcendental Functions: 7.2-7.4
       Chap 8: Techniques of Integration: 8.2-8.5, 8.8
       Chap 9: First-Order Differential Equations: 9.2

Week 01: 
 Tu: 09/12: lecture 01 
 Tr: 09/14: lecture 02 
 Tr: 09/14: Recitation on homework 01
2.2: Limit of a Function and Limit Laws
2.3: The Precise Definition of a Limit

Week 02: 
 Tu: 09/19: lecture 03 + quiz 01 on homework 01 
 Tr: 09/21: lecture 04 
 Tr: 09/21: Recitation on homework 02
2.4: One-Sided Limits
2.5: Continuity
2.6: Limits Involving Infinity; Asymptotes of Graphs

Week 03: 
 Tu: 09/26: lecture 05 + quiz 02 on homework 02 
 Tr: 09/28: Teachers' day       ----- No class, no recitation
3.2: The Derivative as a Function

Week 04:
 Tu: 10/03: lecture 06 
 Tr: 10/05: lecture 07  
 Tr: 10/05: Recitation on homework 02-03
3.3: Differentiation Rules
3.5: Derivatives of Trigonometric Functions

Week 05: 
 Tu: 10/10: National Day,       -----No class.
 Tr: 10/12: lecture 08 
 Tr: 10/12: Recitation on homework 04 + quiz 1 on homework 02-03
3.6: The Chain Rule.

Week 06: 
 Tu: 10/17: lecture 09 
 Tr: 10/19: lecture 10 
 Tr: 10/19: Recitation on homework 05 + quiz 2 on homework 04
3.7: Implicit Differentiation
3.8: Derivatives of Inverse Functions and Logarithms
3.9: Inverse Trigonometric Functions

Week 07:  
 Tu: 10/24: Midterm 01
 Tr: 10/26: lecture 11  
 Tr: 10/26: Recitation on homework 06 + quiz 3 on homework 05
3.11: Linearization and differentials

Week 08:
 Tu: 10/31: lecture 12
 Tr: 11/02: lecture 13 
 Tr: 11/02: 
4.1: Extreme Values of Functions
4.2: The Mean Value Theorem
4.3: Monotonic Functions and the First Derivative Test

Week 09:
 Tu: 11/07: lecture 14 
 Tr: 11/09: lecture 15 
 Tr: 11/07: Recitation on homework 08)
4.4: Concavity and Curve Sketching
4.5: Indeterminate Forms and L’Hôpital’s Rule
4.6: Applied Optimization

Week 10:
 Tu: 11/14: lecture 16 
 Tr: 11/16: lecture 17 
 Tr: 11/16: Recitation on homework 09 + quiz 4 on homework 08
4.8: Antiderivatives
5.2: Sigma Notation and Limits of Finite Sums
5.3: The Definite Integral

Week 11:
 Tu: 11/21: lecture 18
 Tr: 11/23: lecture 19 
 Tr: 11/23: Recitation on homework 10 + quiz 5 on homework 09
5.4: The Fundamental Theorem of Calculus
5.5: Indefinite Integrals and the Substitution Method
5.6: Substitution and Area Between Curves

Week 12:
 Tu: 11/28: lecture 20 
 Tr: 11/30: lecture 21 
 Tr: 11/30: Recitation on homework 11 + quiz 6 on homework 10
6.1: Volumes Using Cross-Sections
6.2: Volumes Using Cylindrical Shells

Week 13: No recitation this week 
 Tu: 12/05: Midterm Exam 2 -----------------------(week 08 - week 12)
 Tr: 12/07: lecture 22     
 Tr: 12/07:
6.3: Arc Length
6.4: Areas of Surfaces of Revolution
7.2: Exponential Change and Separable Differential Equations

Week 14:
 Tu: 12/12: lecture 23
 Tr: 12/14: lecture 24 
 Tr: 12/14: Recitation on homework 13 
9.2: First-Order Linear Equations
7.3: Hyperbolic Functions
7.4: Relative Rates of Growth

Week 15:
 Tu: 12/19: lecture 25 
 Tr: 12/21: lecture 26
 Tr: 12/21: Recitation on homework 14 + quiz 7 on homework 13
8.2: Integration by Parts
8.3: Trigonometric Integrals
8.4: Trigonometric Substitutions

Week 16: 
 Tu: 12/26: lecture 27
 Tr: 12/28: lecture 28
 Tr: 12/28: Recitatior on homework 15 + quiz 8 on homework 14
8.5: Integration of Rational Functions by Partial Fractions
8.8: Improper Integrals

Week 17:
 Tu: 01/02: lecture 29                            
 Tr: 01/04: lecture 30 
 Tr: 01/04: Recitation on homework 16 + quiz 9 on homework 15

Week 18:
 Tr: 01/13: Final Exam ------------------------(week 13 - week 17)